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11 votes
Write an equation of the line that passes through the given point and has the given slope.

Write an equation of the line that passes through the given point and has the given-example-1
User Vijunav Vastivch
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2.5k points

1 Answer

14 votes
14 votes

Answer:

y = -x - 4

Explanation:

the equation of a linear graph is y = mx + b

you know the m = -1

so now the equation is y = -x + b

from here, what you could do to find b is...

plug (-1, -3) into the equation

1) x = -1, y = -3

2) -3 = -(-1) + b

3) -3 = 1 + b

4) -4 = b

or you can look at the y-intercept which is where the line intersects with the y-axis

it seems to be (0, -4)

so "b" would be equal to -4

this makes the final equation y = -x + (-4) or y = -x - 4

User PointedEars
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3.1k points